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Beliebt Rechnen >

y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=5

Lösung

y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5

Lösung

y = (1 + \frac{3 - 7}{2 7}) e^{(2 + 7) t} - \frac{3 - 7}{2 7} e^{(2 - 7) t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = (1 + \frac{3 - 7}{2 7}) e^{(2 + 7) t} - \frac{3 - 7}{2 7} e^{(2 - 7) t}

y = (1 + \frac{3 - 7}{2 7}) e^{(2 + 7) t} - \frac{3 - 7}{2 7} e^{(2 - 7) t}

Graph

Beliebte Beispiele

y^{'''}-4y^{''}+y^'-4y=0

y^{^{'''}} - 4 y^{^{''}} + y^{^{'}} - 4 y = 0

y^{'''}-9y^{''}+108y=0

y^{^{'''}} - 9 y^{^{''}} + 108 y = 0

y^{''}+y^'+56y=0

y^{^{''}} + y^{^{'}} + 56 y = 0

y^{''}-4y^'+4y=0,y(0)=5,y^'(0)= 53/5

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 5, y^{^{'}} (0) = \frac{53}{5}

y^{''}-3y^'+2y=0,y(0)= 3/5 ,y^'(0)=-1/5

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = \frac{3}{5}, y^{^{'}} (0) = - \frac{1}{5}